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Finding the Fourth Proportional to 434.44, 651.12 and 160.21

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Solution

The fourth proportional to 434.44, 651.12 and 160.21 is: 240.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.44 : 651.12 = 160.21 : x
  2. Step 2: Convert to fraction form
    434.44/651.12 = 160.21/x
  3. Step 3: Cross multiply
    434.44x = 651.12 × 160.21
  4. Step 4: Simplify right side
    434.44x = 104,315.94
  5. Step 5: Solve for x
    x = 104,315.94/434.44
  6. Step 6: Final answer
    x = 240.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.